10528120800 has 432 divisors, whose sum is σ = 39764454912. Its totient is φ = 2715379200.

The previous prime is 10528120787. The next prime is 10528120847. The reversal of 10528120800 is 802182501.

10528120800 is a `hidden beast` number, since 10 + 528 + 120 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10528120800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6025527 + ... + 6027273.

Almost surely, 2^10528120800 is an apocalyptic number.

10528120800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10528120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19882227456).

10528120800 is an abundant number, since it is smaller than the sum of its proper divisors (29236334112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10528120800 is a wasteful number, since it uses less digits than its factorization.

10528120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

It can be divided in two parts, 10528 and 120800, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 10528120800 in words is "ten billion, five hundred twenty-eight million, one hundred twenty thousand, eight hundred".